〜わけがない emphatically denies something is possible — "there''s no way," "it''s impossible that."
Strong denial - Rejecting a possibility completely
Logical impossibility - Something cannot logically be true
Casual form drops が: わけない. Related: わけではない (it''s not that...)
See examples below for varied real-world usage.
Different from わけではない
- わけがない = impossible, no way
- わけではない = it''s not that... (partial denial)
Casual speech: わけない (drops が)
Polite form: わけがありません
There's no way he would lie.
There's no way I can do such a hard problem.
In everyday context, There's no way he would lie.
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